7 + x/4 = 5 (common denominator is 4)
4(7+x/4) = 4 x 5 (distribute the 4 though parenthesis)
4 *7 +4x/4 = 4 x 5
4 * 7 + x = 4 x 5
28 + x = 4 x 5
28 + x = 20 (subtract the 28)
x = 20 - 28
x = -8
Answer:
The minor arc PR is 42 degrees
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The inscribed angle is half that of the arc comprising
so

we have

substitute


Remember that the minor arc in a circle is less than 180 degrees
therefore
The minor arc PR is 42 degrees
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10